Dynamical Systems & Scientific Computing - Summer12

Ernst Otto Fischer-Lehrpreis 2012

This course has recently been developed within the Ernst Otto Fischer prize for lecturing of the TUM

Term

Summer 12

Lecturer

Dr. rer. nat. Tobias Neckel, Dr. rer. nat. Florian Rupp

Time and Place

Monday 14:00-15:30, Wednesday 14:00-15:30; room 02.07.023

Audience

CSE, Mathematics (Master/Diplom), Informatics (Master/Diplom); Modul IN2251;

Tutorials

Friday 10:00-11:30; room 03.06.011

Exam

t.b.a.

Semesterwochenstunden / ECTS Credits

6 SWS / 9 Credits

TUMonline

Dynamical Systems & Scientific Computing

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News

• Updated schedule of the course
• Starting time of the seminars and exercises:
  • Monday/Wednesday: 14:00 sharp (end 15:30)
  • Friday: 10:00 sharp (end 11:30)

Survey

"Dynamical Systems & Scientific Computing" introduces the theory and numerics of randomly disturbed differential equations from the point of view of both Dynamical Systems and Scientific Computing. This newly introduced course is designed as a seminar with a dedicated workshop part supplemented by exercises and some few lectures. The course is open (and meant for) students of mathematics as well as informatics: This interesting combination of different backgrounds will allow for fruitful discussion and solution approaches.

The focus of this course is on the student-centred approach to the topics during the seminary part. In the 3-day workshop, the participants apply their kowledge to a specific problem on earthquake responses in multi-storey buildings. Most parts of the so-called simulation pipeline are, thus, tackled in a hands-on approach:

• Theory
• Modelling
• Numerics & Algorithms
• Implementation & Data Structures
• Visualisation
• Verification & Validation

The major innovative element of this course is the workshop: The task is to realise a small software product in matlab. The participants will experience (parts of) the challenges and requirements of interdisciplinary projects in academia and industry.

Content

The seminary talks are chosen from the following topics. Details have been discussed during the kick-off meeting on January 31, 2012, at 17:00 in room 02.07.023 (cf. slides of the kick-off meeting).

Topics

Here is an ordered list of topics (short titles) with the info whether the topic is already assigned to a participant or still available:

• 1 : RDE Formulation (assigned)
• 2 : ODE Theory (assigned)
• 3 : Deterministic Dynamical Systems (assigned)
• 4 : Stability of Matrices (assigned)
• 5 : Shadowing Lemma
• 6 : RDE Theory 1 (assigned)
• 6b: RDE Theory 2 (assigned)
• 7 : RDE Simulation (assigned)
• 8 : RDE Stability (assigned)
• 9 : Material Laws (assigned)
• 10: PDE Formulation of RDE
• 11: ODE Simulation (assigned)
• 12: Visualisation Principles (assigned)
• 13: Fourier Transform (assigned)
• 14: Discrete Sine Transform (assigned)
• 15: Space-filling Curves (assigned)
• 16: Software Engineering